What is the Least Common Multiple of 89080 and 89086?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 89080 and 89086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89080 and 89086, than apply into the LCM equation.

GCF(89080,89086) = 2
LCM(89080,89086) = ( 89080 × 89086) / 2
LCM(89080,89086) = 7935780880 / 2
LCM(89080,89086) = 3967890440

Least Common Multiple (LCM) of 89080 and 89086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89080 and 89086. First we will calculate the prime factors of 89080 and 89086.

Prime Factorization of 89080

Prime Factorization of 89086

Now multiplying the highest exponent prime factors to calculate the LCM of 89080 and 89086.

LCM(89080,89086) = 2³ × 5¹ × 17¹ × 131¹ × 44543¹
LCM(89080,89086) = 3967890440